Question

Use the formula for finding a z-score to determine the missing value in the following table. Round your answer to two decimal places, if necessary

Answer 1

Explanation

We are given the following:

`\begin{gathered} z=0.64 \\ x=-34.90 \\ \sigma=9.48 \end{gathered}`

We are required to determine the missing value μ.

This is achieved thus:

We know that the formula for z-score is given as:

`z=(x-\mu)/(\sigma)`

Therefore, we have:

`\begin{gathered} z=(x-\mu)/(\sigma) \\ 0.64=(-34.90-\mu)/(9.48) \\ \text{ Cross multiply } \\ -34.90-\mu=0.64*9.48 \\ -34.90-\mu=6.0672 \\ -\mu=6.0672+34.90 \\ -\mu=40.9672 \\ \mu=-40.9672 \\ \mu\approx-40.97 \end{gathered}`

Hence, the answer is:

`\mu\approx-40.97`